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Impact of thermal radiation on stretching sheet: a numerical approach using new similarity transformations

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Abstract

The main objective of this article is to apply novel similarity transformations, which we have developed ourselves. The similarity method holds great potential for solving sets of partial differential equations. However, previous studies on stretching sheets only considered nondimensional similarity variables with respect to a single independent variable, leading to certain inaccuracies. To address this, we have derived a novel set of similarity transformations that encompass all the independent variables used in the analyzed equations. This approach aims to enhance the accuracy of results significantly. The results of this investigation were contrasted with those from past works. It became evident that the previous studies, which relied on a similarity variable based on a single independent variable, contained several inaccuracies. Therefore, we devised a new set of similarity transformations to overcome this limitation. For numerical results, we employed the shooting technique along with Runge–Kutta–Fehlberg’s 4th–5th method.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Not applicable.]

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Acknowledgements

The authors are grateful to the department of science and technology of the Government of India for financing as support of the DST-FIST initiative for Higher education institutions (Grant No. SR/FST/MS-I/2018/23(C)).

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Author notes

  1. Sushma, B. J. Gireesha, and C. G. Pavithra have contributed equally to this work.

Authors and Affiliations

  1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga, Karnataka, 577451, India

    Sushma, B. J. Gireesha & C. G. Pavithra

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  1. Sushma
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Contributions

Sushma and C.G. Pavitra were contributed to conceptualization, methodology, software, writing original draft. B.J. Gireesha was contributed to conceptualization, methodology, software, writing—review and draft, supervision.

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Correspondence to B. J. Gireesha.

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Sushma, Gireesha, B.J. & Pavithra, C.G. Impact of thermal radiation on stretching sheet: a numerical approach using new similarity transformations. Eur. Phys. J. Plus 139, 98 (2024). https://doi.org/10.1140/epjp/s13360-024-04876-y

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